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Prealgebra: Operations

Problems

Properties of Multiplication

Inverse Operations

Do the following problems without your calculator, using the properties of multiplication to help you.

Problem : 6×7×5 = ?

210

Problem : 5×(27×20)

2,700

Problem : 6×(2 + 10)

72

Problem : 5×876×156×7×4×0 = ?

0

Problem : 5×1×1×4×1 = ?

20

Problem : (5 + 4)×1 = ?

9

Which properties of multiplication (Associative, Commutative, Distributive, Identity, Zero Product Property) are used in the following?

Problem : 5×78×0 = 0

Zero Product Property

Problem : 65×(9 + 10) = (65×9) + (65×10)

Distributive Property

Problem : (6×5)×11 = (5×6)×11

Commutative Property

Problem : (9×8)×3 = 9×(8×3)

Associative Property

Problem : 52×1 = 52

Identity Property

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